Prinzipalbündel auf p-adischen Kurven und Paralleltransport
| dc.creator | Hackstein, Urs | |
| dc.date | 2007-01-11 | |
| dc.date.accessioned | 2026-07-07T07:40:01Z | |
| dc.date.available | 2026-07-07T07:40:01Z | |
| dc.description | We define functorial isomorphisms of parallel transport along etale paths for a class of G-principal bundles on a p-adic curve where G is a connected reductive algebraic group of finite presentation. This class consists of all principal bundles with potentially strongly semistable reduction of degree zero. In particular, this construction gives us a continous functor from the etale fundamental grupoid of the given curve to the category of topological spaces with a simply transitive continous right G(\mathbb{C}_{p})-action for every such principal bundle. This generalizes the construction of functorial isomorphisms of parallel tranport for a certain class of vector bundles on a p-adic curve by Deninger and Werner and it may be viewed as a partial p-adic analogue of the classical theory by Ramanathan of principal bundles on compact Riemann surfaces which again generalizes the classical Narasimham-Seshadri theory of vector bundles on compact Riemann surfaces. | |
| dc.identifier | https://arxiv.org/abs/math/0701315 | |
| dc.identifier | http://arxiv.org/abs/math/0701315 | |
| dc.identifier | published online on www.miami.uni-muenster.de, 1/2007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/121664 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60 | |
| dc.title | Prinzipalbündel auf p-adischen Kurven und Paralleltransport | |
| dc.type | text |